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Finding the Third Proportional to 171,738 and 373,032

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Solution

The third proportional to 171,738 and 373,032 is: 810,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,738 : 373,032 = 373,032 : x
  2. Step 2: Convert to fraction form
    171,738/373,032 = 373,032/x
  3. Step 3: Cross multiply
    171,738x = 373,032 × 373,032
  4. Step 4: Simplify right side
    171,738x = 139,152,873,024
  5. Step 5: Solve for x
    x = 139,152,873,024/171,738
  6. Step 6: Final answer
    x = 810,262.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.